All categories

3 years ago

13. The numerator of a rational number is 3 less than the denominator. If the denominator is

Mathematics

1 answer:

g100num [7]3 years ago

5 0

Fraction = 4/7

Step by step Explanation

Let the denominator be x.

Numerator = 3 less than denominator

denominator = x

Numerator = (x – 3)

Now, Adding 5 to denominator

adding 2 to numerator.

Numerator = (x – 3 + 2)

Denominator = (x + 5)

(x – 3 + 2)/(x + 5)

According to the question

(x – 3 + 2)/(x + 5) = 1/2

(x – 1)/(x + 5) = 1/2

2(x – 1) = 1(x + 5)

2x – 2 = x + 5

2x – x = 5 + 2

x = 7

So,

=> Denominator x = 7

=> Numerator (x – 3) => (7 – 3) = 4

= > Fraction = 4/7

You might be interested in

<img src="https://tex.z-dn.net/?f=%5Clarge%5Csf%5Cfbox%5Cred%7BQuestion%3A-%7D" id="TexFormula1" title="\large\sf\fbox\red{Quest

tamaranim1 [39]

Answer:

The function is injective but nor surjective

Step-by-step explanation:

We see that:

f(x) = x³

For any x₁ and x₂ ∈ N,

f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbers

It it confirmed one-to-one, hence it is injective

Check the surjectivity:

f(x) = y ∈ N

x³ = y
y = ∛x

Let y = 2, then:

2 = x³
x = ∛2 ∉ N

Since x is not natural, the function is not surjective

6 0

2 years ago

Read 2 more answers

how much will you save if you buy an item listed at 17.50 at a 35 percent discount? savings = price x discount percentage

kenny6666 [7]

Answer:

17.50 × 0.35 = 6.13

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

if a ice cream cone has a radius of 6 feet and a height of 10 feet what is the volume use 3.14 and round to the nearest cubic fo

andrey2020 [161]

Answer:

377 ft³

Step-by-step explanation:

V=πr²h /3

V = (3.14)(6)²(10)/3 = 376.8 ft³

6 0

3 years ago

Expression.is of what number? Write a division expression to match this question.

nirvana33 [79]

3/4 is 1/3 of what number?

For this problem we just need to do the following division:

$\frac{x}{3}=\frac{3}{4}$

And we can solve for the value of x desired and we got multiplying both sides by 3:

$x=3(\frac{3}{4})=\frac{9}{4}$

So then we can conclude that 3/4 is 1/3 of 9/4

Answer: 9/4

Expression:

$\frac{x}{3}=\frac{3}{4}$

3 0

1 year ago

One stack has 6 cups, and its height is 15 cm. The other one has 12 cups, and its height is 23 cm. How many cups are needed for

Ronch [10]

Answer:

Given

Number of stacks = 2

Stack 1 = 6 cups; h1 = 15cm

Stack 2 = 12 cups; h2 = 23cm

Let's first find the average:

With an average of 4/3, to obtain the number of cups needed to obtain a height of 50m, we have:

50 / (4/3)

= 50 * 3/4

= 150/4

= 37.5

From the answer, we can see that the number of cups is not really proportional to the height of the stack, because the average of stack one and stack 2 are different.

Step-by-step explanation:

7 0

3 years ago